257828741 has 2 divisors, whose sum is σ = 257828742. Its totient is φ = 257828740.

The previous prime is 257828723. The next prime is 257828743. The reversal of 257828741 is 147828752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139476100 + 118352641 = 11810^2 + 10879^2 .

It is a cyclic number.

It is not a de Polignac number, because 257828741 - 2²⁶ = 190719877 is a prime.

Together with 257828743, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 257828692 and 257828701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257828743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128914370 + 128914371.

It is an arithmetic number, because the mean of its divisors is an integer number (128914371).

Almost surely, 2^257828741 is an apocalyptic number.

It is an amenable number.

257828741 is a deficient number, since it is larger than the sum of its proper divisors (1).

257828741 is an equidigital number, since it uses as much as digits as its factorization.

257828741 is an evil number, because the sum of its binary digits is even.

The product of its digits is 250880, while the sum is 44.

The square root of 257828741 is about 16057.0464594209. The cubic root of 257828741 is about 636.4687855135.

The spelling of 257828741 in words is "two hundred fifty-seven million, eight hundred twenty-eight thousand, seven hundred forty-one".